Numerical study of the influence of a longitudinal sound field on natural convection in a cavity |
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| Affiliation: | 1. Université de Toulouse, Institut de Mathématiques de Toulouse, UMR CNRS 5215, INSA-Toulouse, 135 avenue de Rangueil, F-31077 Toulouse Cedex 04, France;2. Université de Toulouse, Institut Clément Ader, FRE CNRS 3687 INSA/UPS/ISAE/Mines Albi, 3 rue Caroline Aigle, 31400 Toulouse, France;1. Mechanical Engineering Department, University of Thessaly, Pedion Areos, 38334 Volos, Greece;2. Université Libre de Bruxelles, Statistical and Plasma Physics, CP231, Boulevard du Triomphe, Campus Plaine, 1050 Brussels, Belgium;1. Institut für Mathematik, Universität Klagenfurt Universitätsstraße 65–57, 9020 Klagenfurt am Wörthersee, Austria;2. Acoustics Division, U.S. Naval Research Laboratory, Stennis Space Center, MS 39529, USA;1. Instituto de Geociências, Universidade de São Paulo, Rua do Lago, 562, 05508-080 São Paulo, Brazil;2. Géosciences Montpellier, Université de Montpellier 2 & CNRS Place E. Bataillon, 34095 Montpellier Cedex 05, France;1. LRIT, CNRST, URAC 29, FSR, Mohammed V University, Rabat, Morocco;2. MIS, University of Picardie Jules Verne, Amiens, France;3. RIITM, ENSIAS, Mohammed V University, Rabat, Morocco;4. Le2i, UMR CNRS 6306 University of Burgundy, Le Creusot, France |
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| Abstract: | Numerical experiments have been performed in order to investigate the convection in an enclosure of aspect ratios 5:1:1.3 subject to a horizontal temperature gradient and a longitudinal sound field. The governing equations are solved by a spectral element method. Different flow structures appear when increasing (or decreasing) the Grashof number. Without acoustic field (acoustic Froude number Fr = 0), a hysteresis occurs connected to a first steady bifurcation with breaking of symmetry, but for Fr ≠ 0, no hysteresis is observed as this symmetry is no more effective. The further transition to oscillatory flow is found to be stabilized by the acoustic field. Depending on Fr, this transition can occur with or without the breaking of the left–right symmetry. |
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